On constraint qualifications for nondegenerate necessary conditions of optimality applied to optimal control problems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

Sofia O. Lopes (Autor) FEUP; Fernando A. C. C. Fontes (Autor) FEUP; Maria do Rosário de Pinho (Autor) FEUP

Revista

Título: Discrete and Continuous Dynamical Systems

Vol. 29 Nº 2

Páginas: 559-575

ISSN: 1078-0947

Editora: American Institute of Mathematical Sciences

Indexação

ISI Web of Knowledge - 17 Citações

Scopus - 20 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-002-VJF

DOI: 10.3934/dcds.2011.29.559

Abstract (EN): We address necessary conditions of optimality (NCO), in the form of a maximum principle, for optimal control problems with state constraints. In particular, we are interested in the NCO that are strengthened to avoid the degeneracy phenomenon that occurs when the trajectory hits the boundary of the state constraint. In the literature on this subject, we can distinguish two types of constraint qualifications (CQ) under which the strengthened NCO can be applied: CQ involving the optimal control and CQ not involving it. Each one of these types of CQ has its own merits. The CQs involving the optimal control are not so easy to verify, but, are typically applicable to problems with less regularity on the data. In this article, we provide conditions under which the type of CQ involving the optimal control can be reduced to the other type. In this way, we also provide nondegenerate NCO that are valid under a different set of hypotheses.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 17